Answer:
a) Absolute Value Inequality => Absolute(0 + y) < 2
b) -2 < y < 2
Which means, Johnson Family has to live within the range of -2 to +2 from the fire department. Otherwise, they will have to pay 500 USD as increased deductible.
Explanation:
<u><em>Johnson Family has to live within the range of -2 to +2 from the fire department.
</em></u>
<em>a) Absolute Value Equation:</em>
Absolute(0 + y) < 2
where y represent the location of the new house and 0 represents the location of the fire department.
Furthermore,
<em>Absolute(0 + y) < 2 = (0 + x) < 2 when (0 + y) is +ve. </em>
and
<em>Absolute(0+y) <2 = -(0 + x) < 2 when (0 + y) is -ve.
</em>
b) When (0 + y) is +ve,
we have, (0 + y) < 2.
<em>Solving for y and subtracting 0 from both sides. </em>
0-0 + y < 2 - 0
<em>y < 2</em>
and when (0 + y) is -ve,
<em>we have, - (0 + y) < 2.
</em>
Solving for y:
- 0 - y < 2
multiplying negative from both sides
<em>y > - 2</em>
<em>So, we have -2 < y < 2 </em>
<em>Johnson Family has to live within the range of -2 to +2 from the fire department. Otherwise, they will have to pay 500 USD as increased deductible. </em>
Answer:
net income = $41752
so correct option is A. $41,752
Explanation:
given data
sales price = $481,600
costs price = $379,700
depreciation expense = $32,100
interest paid = $8,400
The tax rate = 32%
to find out
net income did the firm earn for the period
solution
we get here net income that earn for the period is express as
net income = ( sales price - costs price - depreciation expense - interest paid ) × ( 1 - tax rate ) ......................... 1
put here value we get
net income = ( $481,600 - $379,700 - $32,100 - $8,400 ) × ( 1 - 32% )
net income = $41752
so correct option is A. $41,752
Answer: Option B
Explanation: In simple words, current liabilities refers to the obligations and promises that an entity has to pay within a year. These liabilities usually arise due to the need of an organisation to fulfill their short term requirements to operate the business efficiently.
These liabilities are of critical in nature as they directly affects the liquidity of the business. In the given case, sales tax payable is the only obligation that must be fulfilled with a year. Hence it is a current liability.
Answer:
22%
Explanation:
Net income = Annual cash flow - Depreciation
Net income = 24350 - (80,000-5,000 / 5)
Net income = 24350 - 15,000
Net income = $9350
Average investment = Beg. value + End. Value / 2
Average investment = 80,000 + 5,000 / 2
Average investment = $42,500
Annual rate of return = Net income / Average investment * 100
Annual rate of return = $9350 / $42,500 * 100
Annual rate of return = 0.22 * 100
Annual rate of return = 22%
Answer:
(D) presumes that everyone can perform sound logical analysis at all times
Explanation:
Economics assumes that everyone is rational and will always choose an option that yields the highest utility in all cases. This accounts for the term "the rational human being" in Economics.